BPS Soliton Solutions of a D3-brane Action

Abstract

The world-volume action of a probe D3-brane in $Ad{S}_5\times S^5$ with $N$ units of flux has the field content, symmetries, and dualities of the $U(1)$ factor of $\mathcal{N}=4$ $U(N+1)$ super Yang--Mills theory, spontaneously broken to $U(N)\times U(1)$ by being on the Coulomb branch, with the massive fields integrated out. Thus, it might be the exact effective action (a highly effective action), or else a useful approximation to it. We construct an $SL(2,Z)$ multiplet of BPS soliton solutions of the D3-brane action and show that in the $N=1$ case they correspond to the electrically charged states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, a soliton bubble, which can be interpreted as a phase boundary. This picture is consistent with previous results in the string theory and field theory literature.

arXiv comment18 pages; v2: Additional references and discussion; v3: One more reference and minor improvements

References in corpus (27)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• N=2 Extremal Black Holes
• Reading between the lines of four-dimensional gauge theories
• Brane Dynamics From the Born-Infeld Action
• Supergravity flows and D-brane stability
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Gauge Theory and the Excision of Repulson Singularities
• Split States, Entropy Enigmas, Holes and Halos
• Universality of Gravity from Entanglement
• Split attractor flows and the spectrum of BPS D-branes on the Quintic
• Supersymmetric D3 brane action in AdS_5 x S^5
• Finite energy Dirac-Born-Infeld monopoles and string junctions
• Multi-monopoles and Magnetic Bags
• Gauge Theories, D-Branes and Holography
• Attractors at weak gravity
• Nonabelian Monopoles
• Highly Effective Actions
• Conformal blocks for AdS5 singletons
• Monopole Planets and Galaxies
• BPS Magnetic Monopole Bags
• Magnetic Bags and Black Holes
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• The large N limit of the Nahm transform
• Highly Effective Action from Large N Gauge Fields
• BPS Equations, BPS States, and Central Charge of N=2 Supersymmetric Gauge Theories
• Magnetic bag like solutions to the SU(2) monopole equations on R^3
• Magnetic Domains

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• Decay of False Vacuum via Fuzzy Monopole in String Theory
• Holographic flows and thermodynamics of Polyakov loop impurities
• Holographic Entanglement Entropy of the Coulomb Branch
• Holographic Wilson Lines as Screened Impurities
• A Holographic Bound for D3-Brane
• New Formulation of the Type IIB Superstring Action in $Ad{S}_5\times S^5$
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• Intersecting D3-D3' system at finite temperature
• Entanglement and Excitations in Gauge/Gravity Duality
• Gauge Theories on the Coulomb branch